Analytical study of solitons to nonlinear time fractional parabolic equations

DOI10.1007/S11071-016-2845-7zbMath1349.35055OpenAlexW2396697984MaRDI QIDQ345639

Mohammad Hasan, M. Dambrine

Publication date: 2 December 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2845-7

zbMATH Keywords

solitonsfirst integral methoddivision theoremnonlinear time fractional parabolic equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (10)

Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative ⋮ A modification to the first integral method and its applications ⋮ Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations ⋮ Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation ⋮ Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method ⋮ Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices ⋮ Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities ⋮ Study on fractional differential equations with modified Riemann-Liouville derivative via Kudryashov method ⋮ Pointwise bounds and blow-up for systems of nonlinear fractional parabolic inequalities ⋮ Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain

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